Solve the logarithmic equation. log 2x =3 X = (Simplify your answer. Type an exact answer, using e as needed.)

Q: use the laws of logarithms to solve the equation. log3(x+1) + log3 (2x-3) =1

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log(x − 2) =…

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log(x) = -2

A: The given logarithmic equation is log(x) = –2.

Q: Write the following equation in its equivalent exponential form. log 464 = y The exponential form…

A: topic - logarithmic and exponential function

Q: Algebraically determine the solution to the logarithmic equation log, (z +2) +log,(z-4) 2.

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Q: Write log4 (x³ + 1) as a base e logarithm using a change-of- base formula. los tiel form log Solve…

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Q: solve log pi   e

A: To solvelogπe

Q: Solve the given logarithmic equation.

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Q: Solve the equation. log , (x +8) = 2 Change the given logarithmic equation to exponential form.…

A: Given : log4x2+8 = 2

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log(8x + 9) =…

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Q: Solve the logarithmic equation. log7 x = 3 II

A: For this problem, we can find x easily by using formula.

Q: Solve the logarithmic equation log2(x + 3) + log2(x - 3) = 4.

A: The given logarithmic equation is log2x+3+ log2x-3=4 We have to find the value of x

Q: Use a change-of-base formula to rewrite the logarithm. (Write your answer using base e logarithms.)…

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Q: Convert the exponential equations into logarithmic form: (a) 52 = 25 is equivalent to log, C = D. C…

A: Given:a 52=25 is equivalent to log5 C=Db2401=74 is equivalent to log7E=Fc103=1000 is equivalent to…

Q: Solve the logarithmic equation.  2 log5 x - log5 (x-8)= 2 +log5 2

A: 2 log5 x - log5 (x-8)= 2 +log5 2 =>2 log5 x - log5 (x-8) - log5 2 = 2  =>2 log5 x - (log5…

Q: Write the log equation as an exponential equation. You do not need to solve for x. log (z-8) (æ) =…

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Q: The logarithmic equation 2 log c = b, where a > 1, expressed in exponential form could be Oa² = bc…

A: The given logarithmic equation is 2logac=b, where a>1. Find the exponential form of the given…

Q: Solve the logarithmic equation. log 5x = log 54 +2 X =

A: By using logarithm property we calculate the given logarithm equation.

Q: Solve the logarithmic equation: log , (8x + 9) – log, (x – 4) = 2.

A:

Q: (a) What is a logarithmic equation? (b) How do you solve a logarithmic equation? (c) Solve for x: 4…

A: a) Logarithmic function is a function that contains Log function and is of the form y=logax where…

Q: Write the log equation as an exponential equation. You do not need to solve for x. 1 log (7+3) (8)

A: logx+38=12

Q: Write the exponential equation X=10Y in logarithmic form. The equivalent logarithmic equation is

A: We have to find logarithmic form

Q: Solve log, a < 4.

A: Given query is to find the solution of the logarithmic expression.

Q: Convert the logarithmic equation log, 4 = into an exponential equation in the form b =y Section 4.4…

A: We have given the logarithmic equation-…

Q: Use the Laws of Logarithms to combine the expression. loga b + + c loga d - r loga s

A: Following properties of logarithms will be used. The exponent property xlogay=logayx. The sum…

Q: (a) Rewrite as an exponential equation. -4 log; g1 (b) Rewrite as a logarithmic equation. (a) log

A: given,

Q: Solve the logarithmic equation. log 3x = log 4 + log (x - 2) -8 8. O 000

A:

Q: Rewrite in logarithmic form: a° = c %3D

A: Given ab=cTaking log on both sideslog ab=log cb×log a=log c (∵log xy=y log x)

Q: Solve the logarithmic equation. log 5(x + 3) + log 5(x - 3) = 3 134 125 3 48 134

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Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or…

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Q: Use logarithms to find an exact solution to the equation below. e^0.09t = 29

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Q: Solve the logarithmic equation log;(x- 1) = 3. A (126) B. (242) (244} D {124}

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Q: Given: log2 = -3. Write the logarithmic equation in exponential form.

A: Given : log218 = -3

Q: Solve the logarithmic equation. log, (6x + 4) log, (2a – 12) O x = 4 O No Solution O x = 0 O x = -4

A: log4(6x+4)= log4(2x-12) log4(6x+4)-log4(2x-12)=0 (6x+4)(2x-12)=40=1 (6x+4)=(2x-12) 6x-2x=-4-12…

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. ln (6/e7)

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Q: (a) What is a logarithmic equation?(b) How do you solve a logarithmic equation?(c) Solve for x: 4…

A: The equation which is in the logarithmic base (common base, natural base or any base a&gt;0 with…

Q: Solve the logarithmic equation log4(2x + 1) = log4(x - 3) + log4(x + 5).

A: log42x+1=log4x-3+log4x+5

Q: Convert the logarithmic equation log, 4 = r into an exponential equation in the form b =y Section…

A: Given that: log24=x

Q: 7-

A: Logarithm:    log73We know the logarithm formulalogmn=lognlogm

Q: Solve the logarithmic equation. y = log10 0.0001

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Q: Use natural logarithms to solve the equation. Round to the nearest thousandth. 8. e 2x 1.4

A: Given : e2x = 1.4

Q: Solve the logarithmic equation. log,(z – 6) – log,(x +7) = 3 help (numbers)

A: The given logarithmic equation is log2x-6-log2x+7=3

Q: Use the Laws of Logarithms to combine the expression. 2 log3 A + 4 log3 B – 4 log3 C

A:

Q: Solve the logarithmic equation. 2 log x- log (4x- 40) – 1= 0

A: We have the log rules klogbM=logbMk logbM-logbN=logbMN

Q: Convert the exponential equation 7 = x into a logarithmic equation in the form log, r y

A: Given exponential function :79=x

Q: logx?=(logx)?

A: Given query is to find value of x solving logarithmic equation.

Q: Solve the logarithmic equation. Write the answer in exact, simplified form. log(y)81=4  (y>0)

A: We can solve the given problem as follows: